Least Common Multiple of 8501 and 8504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8501 and 8504 the smallest integer that is 72292504 that is divisible by both numbers.

Least Common Multiple (LCM) of 8501 and 8504 is 72292504.

LCM(8501,8504) = 72292504

LCM of 8501 and 8504

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8501 and 8504

LCM of 8501 and 8504 is 72292504

Least common multiple can be found by multiplying the highest exponent prime factors of 8501 and 8504. First we will calculate the prime factors of 8501 and 8504.

Prime Factorization of 8501


8501 8501
1

Prime factors of 8501 are 8501. Prime factorization of 8501 in exponential form is:

8501 = 85011

Prime Factorization of 8504


2 8504
2 4252
2 2126
1063 1063
1

Prime factors of 8504 are 2,1063. Prime factorization of 8504 in exponential form is:

8504 = 23×10631

Now multiplying the highest exponent prime factors to calculate the LCM of 8501 and 8504.

LCM(8501,8504) = 23×10631×85011
LCM(8501,8504) = 72292504

Factors of 8501

List of positive integer factors of 8501 that divides 8501 without a remainder.

1, 8501

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1, 2, 4, 8, 1063, 2126, 4252, 8504

Least Common Multiple of 8501 and 8504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8501 and 8504, than apply into the LCM equation.

GCF(8501,8504) = 1
LCM(8501,8504) = ( 8501 × 8504) / 1
LCM(8501,8504) = 72292504 / 1
LCM(8501,8504) = 72292504

Properties of LCM 8501 and 8504

(i) The LCM of 8504 and 8501 is associative

LCM of 8501 and 8504 = LCM of 8504 and 8501

Related Least Common Multiples of 8501

Related Least Common Multiples of 8504

Frequently Asked Questions on LCM of 8501 and 8504

1. What is the LCM of 8501 and 8504?

Answer: LCM of 8501 and 8504 is 72292504.

2. What are the Factors of 8501?

Answer: Factors of 8501 are 1, 8501. There are 2 integers that are factors of 8501. The greatest factor of 8501 is 8501.

3. What are the Factors of 8504?

Answer: Factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504. There are 8 integers that are factors of 8504. The greatest factor of 8504 is 8504.

4. How to Find the LCM of 8501 and 8504?

Answer:

Least Common Multiple of 8501 and 8504 = 72292504

Step 1: Find the prime factorization of 8501

8501 = 8501

Step 2: Find the prime factorization of 8504

8504 = 2 x 2 x 2 x 1063

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 72292504 = 2 x 2 x 2 x 1063 x 8501

Step 4: Therefore, the least common multiple of 8501 and 8504 is 72292504.